Definition: Resource geometry

A geometry is

where:

1. $V$ is a fixed finite set of regions;

2. $\mathrm{cap}:V\to \mathbb{N}$ is a capacity function;

3. $L_{\mathrm{lat}}$ is a finite family of identified latent links $(\ell ,\{u,v\})$, with distinct endpoints in $V$;

4. $E_{\mathrm{act}}$ is a finite family of identified directed edges $(\ell ,u,v)$.

Identifiers are unique and no identifier occurs in both components. The directed graph underlying $E_{\mathrm{act}}$ is acyclic. Distinct identified edges may have the same endpoints.

Set